ܦࡁֶՊࢤئऀͷֶతڵຯͱֶՊ໊শϓϨϛΞϜ
—
ํจܥࢲཱେֶʹ͓͚Δʮܦࡁʯ
ʮࠃࡍܦࡁʯֶՊؒ
બߦಈͷੳ
—
ࢢ౦
∗†‡ ೆֶӃେֶܦࡁֶ෦ ֓ཁ ຊݚڀͰɼํࢲཱେֶͷҰൠೖࢼσʔλΛ༻͍ͯɼܦࡁֶ෦डݧ ੜͷֶՊબߦಈΛઆ໌͢Δ౷ܭతϞσϧΛߏங͠ɼܦࡁֶՊ͓Αͼࠃ ࡍܦࡁֶՊडݧੜͷɼڵຯɼಛɼࢤಈػΛ໌Β͔ʹ͢Δ͜ͱͰɼ ͜Ε·Ͱֶੜͷҹʹج͖ͮٞ͞Ε͖ͯͨΧϦΩϡϥϜฤʹ٬؍త ͳࢿྉΛఏࣔ͢Δ͜ͱΛతͱ͢Δɽ۩ମతʹɼडݧੜͷܦࡁֶՊɾ ࠃࡍܦࡁֶՊؒબߦಈΛProbitϞσϧͰਪఆ͠ɼܦࡁֶՊʹֶ ʹڵຯͷ͋Δֶੜ͕ࢤئ͠ɼࠃࡍܦࡁֶՊʹޠֶʢӳޠʣʹڵຯͷ͋ Δֶੜ͕ࢤئ͢Δͱ͍͏ԾઆͱɼࠃࡍܦࡁֶՊʹʮࠃࡍʯ໊শϓϨϛ ΞϜ͕ଘࡏ͢Δͱ͍͏2ͭͷԾઆΛݕূ͢Δɽਪఆͷ݁Ռɼ1ͭͷԾ આࢧ࣋͞Εɼ2ͭͷԾઆغ٫͞Εͨɽͨͩ͠ೖखͰ͖Δσʔλͷ ੍্ɼ༻͢ΔਪఆྔͷීวੑͱҰகੑอূ͞Ε͍ͯͳ͍ɽ∗Tel: 092-823-4430; Fax: 092-823-2506; E-mail address: shito@seinan-gu.ac.jp
† ຊݚڀͷॳظͷ݁ՌຊԠ༻ܦࡁֶձ2017ळقେձͰใࠂ͞ΕͨͷͰ͋Δɽֶձ Ͱେࡕཱେֶͷࣛൟथࢯɼେࡕେֶͷॏݩ࢚ࢯɼभࢢཱେֶͷڇٛ໌ࢯ͔ ΒوॏͳίϝϯτΛ͍ͨɽ͜͜ʹײँਃ্͛͠Δɽ࠷ऴߘͦΕҎ߱վగ͞ΕͨͷͰ ͋Γɼຊจͷ࠷ऴ݁Ռʹ͍ͭͯͷશͯஶऀʹ͋Δɽ ‡ ຊߘͷࣥචʹ͓͍ͯೆֶӃେֶೖࢼ՝͔Βಗ໊σʔλΛఏڙ͍ͯͨ͠ɽ͜͜ʹײँਃ ্͍͛ͨ͠ɽ
Keywords:
ֶՊબߦಈɼֶɼܦࡁֶΧϦΩϡϥϜɼProbit
JEL classification:
I20; C12; C35
1
͡Ίʹ
2014
8
݄ʹຊֶज़ձ͔ٞΒʮେֶڭҭͷผ࣭อূͷͨΊͷڭҭ՝ ఔฤ্ͷࢀরج४ ܦࡁֶʯ͕ެද͞Εͨɽ͜ͷࢀরج४ͷ࡞ʹ͓͍ ͯɼॴҦओྲྀɾඇओྲྀͷҙݟରཱ͕͋ΓجૅՊͷબఆ͕ݟૹΒΕͨ͜ ͱपͷࣄ࣮Ͱ͋Δ(
࢜2014)
ɽ શࠃతʹେֶڭҭͷ࣭վળ͕ڣΕΔதɼචऀͷۈ͢ΔೆֶӃେֶܦ ࡁֶ෦ʹ͓͍ͯɼφϯόϦϯάίΞՊͷඞमԽʹ͍ͭͷ͕ٞԿ͔ ߦΘΕͨɽ͔͠͠ͳ͕Βɼͦͷ͍ͣΕݱ࣌Ͱ࣮ݱ͍ͯ͠ͳ͍ɽ ܦࡁֶจܥՊͰ͋Γͳ͕Βֶ౷ܭֶͷࣝΛඞཁͱ͠ɼཧܥͷΑ ͏ͳମܥతͳཧج൫ͷ্ʹཱͭݚڀྖҬ͕͋ΔҰํɼҬݚڀ੍ੳ Λओͱ͢ΔݚڀྖҬଘࡏ͢Δɽݚڀख๏ʹԠֶͯ͡ੜʹཁٻ͞ΕΔཤमཁ ͕݅ҟͳΔͨΊɼ౷Ұֶͨ͠෦ΧϦΩϡϥϜʹࢸΔ͜ͱ͍͠ɽ͍ɼஶऀ ͷۈ͢ΔೆֶӃେֶܦࡁֶ෦ͰɼલऀͷྖҬʹଐ͢ΔՊܦࡁֶՊ ʹଟ͘ɼޙऀʹଐ͢ΔՊࠃࡍܦࡁֶՊʹଟ͘ɼֶՊຖʹ͋ΔఔͷΈ ͚͕ग़དྷ͍ͯΔɽ ֶ͠ੜͷχʔζڵຯֶ͕ՊͷಛͱҰக͍ͯ͠ΕɼֶՊຖͷಛΛ ׆͔ͨ͠ڭҭํΛܾΊΔ͜ͱ͕ՄೳͰ͋ΔɽҰํͰֶ͠ੜͷڵຯχʔ ζʹֶՊຖͷࠩҟ͕ͳ͚Εɼܦࡁֶ෦શମͰ͋Δఔ౷Ұͨ͠جૅڭҭΛ ࢪ͠ɼਐڃͱڞʹڵຯʹԠͨ͡ίʔε͚Λߦ͏͖Ͱ͋Ζ͏ɽ౷Ұతͳج ૅڭҭʹ͍ͭͯɼֶ౷ܭֶ͔Βମܥతʹڭ͑Δ͖ͳͷ͔ɼͦΕͱ จܥࢤͷֶੜʹ߹Θͤɼͦ͏ͨ͠ՊΛग़དྷΔ͚ͩճආͯ͠ڭ͑Δ͖͔ɼ ํ͕͔ΕΔͱ͜ΖͰ͋Ζ͏ɽ͜ΕΒօɼֶੜͷಛੑڵຯʹԠܾͯ͡ఆ͞ΕΔ͖Ͱ͋Δɽ ຊݚڀೆֶӃେֶܦࡁֶ෦ࢤئऀ͕Ͳͷ༷ͳֶతڵຯʹج͍ͯܦࡁ ֶՊɾࠃࡍܦࡁֶՊΛબ͍ͯ͠Δͷ͔ɼ࣭తมྔϞσϧΛ༻͍ͯ౷ܭతʹ ໌͔ʹ͢Δ͜ͱͰɼֶ෦ͷํੑΛܾΊΔࡍʹཱͯΑ͏ͱ͍͏ͷͰ͋Δɽ ۩ମతʹɼܦࡁֶՊʹֶʹڵຯͷ͋Δֶੜ͕ࢤئ͠ɼࠃࡍܦࡁֶՊʹ ޠֶʢӳޠʣʹڵຯͷ͋Δֶੜ͕ࢤئ͢Δͱ͍͏ԾઆΛݕূ͢Δɽֶͱӳޠ ͷڵຯͷ߹͍ΛଌΔͨΊͷཧมͱͯ͠ೖࢼΛภࠩԽͨ͠ͷΛ ࠾༻͢Δɽʮ͖ͦ͜ͷ্खͳΕʯͱ͍͏௨ΓɼͦͷՊͷڵຯͱ ֓Ͷਖ਼ͷ૬͕ؔ͋Δͱߟ͑ΒΕΔɽ͔͠͠ཧมͷ༻ڵຯͷେ͖͞Λ ଌΔ্ͰܭଌޡࠩΛ࢈ΈੜੑͷΛੜͤ͡͞Δɽೳྗڵຯͱ͍ͬͨந తͳ֓೦ͷσʔλͱͯ͠ཧมΛ࠾༻͢Δ߹ʹૢ࡞มΛಋೖ ͯ͠ਪఆྔͷҰகੑΛ୲อ͢Δͷ͕ҰൠతͰ͋Δ͕ɼຊߘͰ༻͢Δσʔλ ͷ߹ɼదͳૢ࡞มΛಋೖ͢Δ͜ͱࠔͰ͋ΔͨΊɼਪఆྔͷීวੑͱ Ұகੑ୲อ͞Ε͍ͯͳ͍ɽ͜ͷʹ͍ͭͯୈ
4
અͰৄ͘͠͡Δɽ ຊݚڀͰɼຊݻ༗ͷ໋໊τϨϯυͰ͋Δʮࠃࡍʯͱ͍͏໊Λףֶͨ͠Պ ͕ɼडݧੜΛັྃ͢Δͷʹ༗རʹಇ͔͘ɼଈͪʮࠃࡍʯ໊শϓϨϛΞϜ͕ଘࡏ ͢Δ͔ʹ͍ͭͯݕূ͢ΔɽೆֶӃେֶܦࡁֶ෦ܦࡁֶՊͱࠃࡍܦࡁֶ Պʹ͔Ε͍ͯΔ͕ɼ2016
·ͰਐֶޙͷఏڙՊʹࠩઃ͚ͯ͜ͳ͔ͬ ͨɽଔۀཁ݅एׯҟͳΔ͕θϛ૬ޓΓೖΕՄೳͰ͋ΓɼͦΕΒઌഐ ߴߍͷਐ࿏ࢦಋͰΒΕ͍ͯͨࣄ࣮Ͱ͋Δɽֶ྆Պͷ࣮࣭తͳࠩҟ໊ শͷΈͩͬͨͨΊɼ໊শϓϨϛΞϜͷݕূ͕ՄೳͱͳΔ1ɽ ຊߘͷߏҎԼͷ௨ΓͰ͋Δɽୈ2
અͰઌߦݚڀΛհ͢Δɽୈ3
અͰ ༻͢Δσʔλʹ͍ͭͯઆ໌͠ɼୈ4
અͰਪఆϞσϧͱԾઆΛ໌Β͔ʹ͢Δɽ ୈ5
અͰຖͷਪఆ݁ՌͱϓʔϧυσʔλΛ༻͍ͨ౷߹Ϟσϧͷੳ ݁ՌΛࣔ͢ɽୈ6
અͰ·ͱΊΔɽ 12017͔ΒɼॴଐֶՊͷڭһ͕։ߨ͢Δθϛ͔͠ཤमͰ͖ͳ͍Α͏ʹมߋ͞Εͨɽ2
ઌߦݚڀͷαʔϕΠ
ֶՊબߦಈʹؔͯ͠ɼւ֎Λத৺ʹ༷ʑͳ؍͔Βݚڀ͕ߦΘΕ͍ͯ Δɽྫ͑ɼ
Arcidiancono (2004)
Arcidiancono, Hotz and Kang (2012)
ɼ֤ઐ߈͔Βظ͞ΕΔকདྷۚͱɼֶҐऔಘͷίετʢೖೳྗֶඅʣ ͷόϥϯε͔Βɼֶੜ͕࠷దͳֶՊબΛߦ͍ͬͯΔ͔൱͔Λݕূ͍ͯ͠Δɽ
Bradley (2012)
ɼܠؾ॥ͱֶՊબߦಈͷ͔ؔΒɼظۚͱֶՊબ ߦಈͷؔΛ࣮ূతʹੳ͍ͯ͠Δɽ ظۚɼ͘͠ɼڵຯɾೳྗʹֶͨ͠ՊબߦಈΛੳͨ͠ݚڀ ɼଞʹଟ͘ଘࡏ͢Δ͕ɼ͍ͣΕରେֶͷશֶՊʹ͓͚ΔબߦಈΛ ੳରͱ͍ͯ͠Δɽ͕ͨͬͯ͠ɼσʔλͰଊ͖͑Εͳ͍બಈػ͕ଘࡏ͢ ΔՄೳੑ͕ߴ͍ɽҰํɼຊݚڀͰɼಉ͡ܦࡁֶ෦ʹ͓͚ΔֶՊબߦಈʹ ݶఆ͍ͯ͠Δҝɼઐ߈ͷҧ͍͔Βੜ͡ΔظۚʹՃ͑ɼڵຯʹ͓͍ͯɼཧ ܥɼจܥͷࠩҟΛߟྀ͢Δඞཁ͕ͳ͍ɽݶΒΕͨࠩҟ͔͠ଘࡏ͠ͳ͍͕Ώ͑ɼ ຊݻ༗ͷ໋໊τϨϯυͰ͋Δʮࠃࡍʯͱ͍͏໊Λףֶͨ͠Պͱɼͦ͏Ͱͳ͍ ֶՊͱͷબߦಈʹ༩͑ΔӨڹΛੳ͢Δ͜ͱ͕ՄೳͱͳΔɽ ຊͰٶా(2015)
͕ɼจܥɼཧܥͷબߦಈͱֶ෦બߦಈͷ࣮ূੳ Λߦ͍ͬͯΔɽٶాɼֶͷڵຯ͕ܦࡁֶ෦ͷબʹϓϥεʹ࡞༻͢Δ ͱ͍͏݁ՌΛಘ͍ͯΔ͕ɼઆ໌มͰ͋Δʮֶʯʮਤܗʯɼطʹେֶڭ ҭΛड͚͍ͯΔେֶੜͷΞϯέʔτ͔Βߏஙͨ͠μϛʔมͰɼੜੑͷ ͕͋Δɽʮֶ͕͖ʯʮਤܗͷतۀ͕͖ͩͬͨʯͱճ͢Δֶੜ͕ ܦࡁֶ෦ʹݦஶʹଟ͍͜ͱΛࢦఠ͍ͯ͠Δ͕ɼطʹܦࡁֶͷษڧΛ࢝Ίֶͨ ੜɼάϥϑநతͳٞʹ͓ͯ͠Γɼ͜ΕΒͷσʔλʹࣗݾબόΠ ΞεͷՄೳੑ͕͋Δɽͭ·ΓɼܦࡁֶͷษڧΛ௨ͯ͠ҎલΑΓֶʹڵຯ ͕Θ͍ͨՄೳੑ͕͋Δɽ ຊߘͷϞσϧͰɼೖࢼΛֶతڵຯͷཧมʹ࠾༻͍ͯ͠Δɽೖࢼ ͷஈ֊Ͱɼडݧੜܦࡁֶ͕ͲͷΑ͏ͳֶ͔ਖ਼֬ʹཧղ͍ͯ͠ͳ͍ͨΊɼܦࡁֶ෦ͷࢤֶ͕͠ͷڵຯΛૡཱ͖ͯͨՄೳੑ͍ɽ͕ͨͬͯࣗ͠ ݾબόΠΞεͷΫϦΞ͞ΕΔɽ
3
༻͢Δσʔλ
ຊߘͰ༻͢Δσʔλɼ2000
͔Β2016
·ͰʹೆֶӃେֶͰ࣮ࢪ ͞ΕͨҰൠೖࢼσʔλ͔Βܦࡁֶ෦ࢤئऀͷΈΛநग़͠ɼҎԼʹઆ໌͢Δ Ͱमਖ਼Λࢪͨ͠ͷͰ͋Δɽ༻͢ΔσʔλΛ2016
·Ͱʹݶఆ͍ͯ͠Δཧ ༝ɼ2016
·Ͱڭҭ༰ʹֶՊؒͰ࣮࣭తͳࠩҟΛઃ͚͍ͯͳ͔͔ͬͨ ΒͰ͋Δɽ2017
͔ΒֶՊຖʹॴଐͰ͖Δθϛ͕͚ΒΕͨɽ2012
ʹೖࢼ੍͕มߋ͞ΕಉҰࢼݧͷซئ͕Մೳͱͳͬͨɽܦࡁֶ ՊͱࠃࡍܦࡁֶՊಉ͡ʹࢼݧ͕࣮ࢪ͞ΕΔͨΊɼ͜ͷ੍Λར༻ͨ͠ड ݧੜͷೖࢼσʔλʹɼશ͘ಉ͡ͷֶ͕྆Պʹαϯϓϧͱͯ͠ݱΕΔɽಉ ซئͰɼ͏Ұํͷࢼݧ໌Β͔ʹʮ͍ͭͰʯडݧͰ͋Δ͔ΒɼୈҰࢤ ֶՊ͕ܾΊΒΕΔͷʹ͍ͭͯɼҰํͷֶՊͷΈΛࢤ͍ͯ͠Δͷͱ͠ ͯѻ͍ɼ͏ҰํͷֶՊͷσʔλαϯϓϧ͔ΒऔΓআ͍͍ͯΔɽಉҰࢼݧ ซئऀͷୈҰࢤֶՊҎԼͷج४Ͱܾఆͨ͠ɽ(1)
શఔɾશೖࢼํࣜʹ͓͍ͯग़ئͷଟ͍ํͷֶՊΛಉҰडݧͷୈҰ ࢤֶՊͱ͢Δɽ(2) (1)
ͰࢤֶՊ͕֬ఆ͠ͳ͍߹ɼೖֶۚΛೖֶۚͨ͠ՊΛୈҰࢤֶ Պͱͯ͠࠾༻͢Δɽ(1)
ɼ(2)
ͷ͍ͣΕͰܾ·Βͳ͍σʔλɼͦΕͧΕͷֶՊʹαϯϓϧͱͯ͠ ؚΊͨɽ·ͨɼಉҰਓ͕ҟͳΔఔͰडݧ͍ͯ͠Δσʔλʹ͍ͭͯɼͦΕ ͧΕผݸͷσʔλͱͯ͠ѻ͍αϯϓϧʹؚΊ͍ͯΔɽ ͜͏ͯ͠ߏஙͨ͠ඪຊද1
ͷ௨ΓͰ͋Δɽ ຊߘͰɼֶੜͷֶతڵຯͷཧมͱͯ͠ೖࢼΛ༻͍ͯ͠Δɽೖ ࢼͷಘ֤ఔຖʹภࠩԽ͍ͯ͠ΔɽडݧੜඞਢՊͷࠃޠͱӳޠʹද
1:
ඪຊ 2000 2001 2002 2003 2004 2005 2006 ܦࡁ 1, 931 2, 217 2, 361 2, 429 2, 470 2, 318 2, 009 ࠃܦ 582 606 610 714 612 524 678 ߹ܭ 2, 513 2, 823 2, 971 3, 143 3, 082 2, 842 2, 687 2007 2008 2009 2010 2011 2012 2013 ܦࡁ 2, 092 2, 353 2, 114 1, 857 1, 484 1, 529 1, 572 ࠃܦ 441 910 855 580 603 656 756 ߹ܭ 2, 533 3, 263 2, 969 2, 437 2, 087 2, 185 2, 328 2014 2015 2016 2017 ܦࡁ 1, 473 1, 448 1, 813 1, 859 ࠃܦ 684 676 712 663 ߹ܭ 2, 157 2, 124 2, 525 2, 522 Ճ͑ɼબՊΛ1
Պडݧ͢Δɽબ͠ͳ͔ͬͨՊͷภࠩ0
ʹઃఆ ͍ͯ͠Δɽ ࢲཱ͔͠डݧ͍ͯ͠ͳֶ͍ੜʹͱͬͯɼબͨ͠ՊҎ֎ͷબՊΛߴ ߍ3
࣍ʹษڧͨ͠ՄೳੑۃΊͯ͘ɼͦͷՊͷڵຯۃΊ͍ͯͱ ߟ͑ΒΕΔɽͦ͜ͰຊߘͰະબՊͷภࠩΛ0
Ͱۙࣅ͢Δ͜ͱʹͨ͠ɽ ͕ͨͬͯ͠ະબՊͷภࠩσʔλʹଌఆޡؚ͕ࠩ·ΕΔ͜ͱʹͳΔɽ ࠃެཱΛซئ͍ͯ͠Δֶੜʹͱͬͯબͨ͠Պ͕ɼબՊதͬͱ ಘҙͳՊͰ͋ΔͣͰ͋Δɽબ͠ͳ͔ͬͨՊʹ͍ͭͯɼͬͱ ಘҙͱݴ͑ͳ͍͕ɼษڧ͖ͯͨ͠Մೳੑ͋Γͦͷͷڵຯ͕શ͘ͳ ͍ͱݴ͑ͳ͍ɽ͜ͷ߹ɼબ͠ͳ͔ͬͨՊͷภࠩΛ0
ʹઃఆ͢Δ͜ ͱࢲཱडݧੜͷ߹ΑΓେ͖ͳଌఆޡࠩΛؚΉՄೳੑ͕͋Δɽଌఆޡࠩ ʹͬͯੜ͡Δ౷ܭϞσϧͷʹ͍ͭͯୈ4
અͰ͡Δɽ ڝ૪૿ࠩɼִݱʹΑΔֶՊબΛίϯτϩʔϧ͢ΔͨΊͷͷ Ͱɼt
ͷܦࡁֶՊͷ࣮࣭ڝ૪ഒΛs
E,tɼࠃࡍܦࡁֶՊͷͦΕΛs
K,tͱ͓͘ͱɼ ڝ૪૿ࠩt
= (s
E,t− s
E,t−1)
− (s
K,t− s
K,t−1)
Ͱఆٛ͢ΔɽલͱͷࠩΛऔΔͨΊɼΛ౷߹ͨ͠ਪఆϞσϧɼ2001
͔Β2016
ͷ16
ؒͷσʔλΛ༻͍͍ͯΔɽ౷߹Ϟσϧͷඪຊ39, 333
Ͱ͋Δɽ ೖࢼ੍ͷมߋΛίϯτϩʔϧ͢ΔͨΊʹઃ͚ͨμϛʔมҎԼͷ5
ͭ Ͱ͋Δɽʢ1
ʣ2004
Ҏ߱Λ1
ͱ͢ΔF
ఔμϛʔɼʢ2
ʣ2005
Ҏ߱Λ1
ͱ ͢ΔֶՊ৽ઃμϛʔ2ɼʢ3
ʣ2000–2007
ͷࠃࡍܦࡁֶՊӳޠ࣮ࣼࢪظ ؒΛ1
ͱ͢Δӳޠࣼμϛʔɼʢ4
ʣηϯλʔར༻ೖࢼʢલظʣ͕ಋೖ͞Ε ͨ2007
Ҏ߱Λ1
ͱ͢Δηϯλʔલظμϛʔ3ɼʢ5
ʣA
ఔಉҰࢼݧซ ئ͕։࢝͞Εͨ2012
Ҏ߱Λ1
ͱ͢ΔA
ఔซئμϛʔɽ ͜ͷଞʹɼஉੑΛ1
ͱ͢Δੑผμϛʔͱɼଞֶ෦ซئμϛʔɼϦʔϚϯɾ γϣοΫʢ2008
9
݄ʣޙͷೖࢼμϛʔͱͯ͠Y2009
ͱɼ౦ຊେࡂ ʢ2011
3
݄ʣޙͷೖࢼμϛʔͱͯ͠Y2012
Λઃఆͨ͠ɽ ද2
ʹຊߘͷ౷ܭϞσϧͰ༻͢Δઆ໌มͷҰཡͱجຊ౷ܭྔΛܝ ͛ͨɽ4
౷ܭϞσϧͱԾઆ
ຊઅͰ·ͣ࠷ॳʹֶՊબߦಈͷ౷ܭϞσϧͱͯ͠࠾༻͢ΔProbit
Ϟσ ϧͷৄࡉΛ໌Β͔ʹ͢Δɽ࣍ʹɼ࠾༻͢Δσʔλͷ੍͔Βੜ͡Δਪఆྔͷ ʹ͍ͭͯ͡Δɽ࠷ޙʹɼਪఆ݁Ռ͔Βݕఆ͢ΔԾઆʹ͍ͭͯ໌Β͔ ʹ͢Δɽ 22005ʹࠃࡍܦࡁֶઐ߈͔ΒࠃࡍܦࡁֶՊʹมߋ 32008ʹಋೖ͞Εͨซ༻ܕ͓Αͼηϯλʔར༻ೖࢼʢޙظʣͷμϛʔɽӳޠࣼμ ϛʔͱઢܗैଐతͳͷͰμϛʔͳ͍ද
2:
༻͢Δมͱجຊ౷ܭྔ ࠷খ தԝ ฏۉ ඪ४ภࠩ ࠷େ உੑ 0 1 0.659 0.474 1 ࠃޠภࠩ 0.273 50.080 49.994 9.998 84.540 ӳޠภࠩ 10.055 49.350 49.968 10.007 90.193 ຊ࢙Bภࠩ 0 0 19.156 25.065 76.496 ੈք࢙Bภࠩ 0 0 9.697 20.243 78.662 ࣏.ܦࡁภࠩ 0 0 3.294 12.645 77.284 ཧBภࠩ 0 0 4.344 14.384 76.744 ֶภࠩ 0 0 13.469 22.781 80.376 ڝ૪૿ࠩ −1.429 −0.087 −0.084 0.582 0.950 Fఔ 0 1 0.845 0.362 1 ֶՊ৽ઃ 0 1 0.766 0.423 1 ӳޠࣼ 0 0 0.439 0.496 1 ηϯλʔલظ 0 1 0.626 0.484 1 Aఔซئ 0 0 0.288 0.453 1 ࿘ਓ 0 0 0.204 0.403 1 จֶ෦ซئ 0 0 0.082 0.275 1 ֶ෦ซئ 0 0 0.465 0.499 1 ๏ֶ෦ซئ 0 0 0.268 0.443 1 ਓؒՊֶ෦ซئ 0 0 0.115 0.320 1 ࠃࡍจԽֶ෦ซئ 0 0 0.053 0.225 1 Y2009 0 0 0.075 0.264 1 Y2012 0 0 0.056 0.229 1 ʮFఔʯҎԼͷมશͯμϛʔมɽ4.1
౷ܭϞσϧ
डݧੜਐֶޙʹɼΑΓେ͖ͳޮ༻͕ظ͞ΕΔֶՊΛબ͢Δͱߟ͑Β ΕΔɽຊߘͷੳରಉ͡ܦࡁֶ෦ͰͷֶՊબͰ͋ΔͨΊɼब৬ ظۚͷࠩҟ΄ͱΜͲͳ͍ͱߟ͑ͯΑ͍ɽͦ͜Ͱडݧੜͷޮ༻ɼબ ֶͨ͠Պ͔Βຬͨ͞ΕΔͰ͋Ζ͏ֶతڵຯͱɼࢼݧ੍ֶ֤ՊͷқʹԠֶͯ͡ՊΛબ͢Δͱߟ͑ΒΕΔɽ
ຊߘͷਪఆϞσϧɼडݧੜ
i
ֶ͕Պd
Λडݧ͠ਐֶͨ͠߹ʹظ͞ΕΔޮ༻
u
di͕ҎԼͷlinear random utility
ʹै͏ͱԾఆ͢Δɽu
di=
x
diγ
d+ ε
di(1)
ͨͩ͠ɼx
di d
ֶՊͷೖࢼͷภࠩɼडݧੜଐੑμϛʔɼࢼݧ੍μ ϛʔɼଞֶ෦ซئμϛʔɼμϛʔ͔ΒͳΔϕΫτϧͰɼγ
dະͷύϥ ϝʔλɼε
diϥϯμϜ߲Ͱε
di∼ N(0, σ
2d)
(2)
ͱԾఆ͢Δɽडݧੜi
u
Ei≥ u
KiͳΒܦࡁֶՊʢd = E
ʣΛࢤ͠ɼͦ͏ Ͱͳ͚ΕࠃࡍܦࡁֶՊʢd = K
ʣΛࢤ͢Δɽy
i Λݸਓi
͕ܦࡁֶՊΛࢤ ͨ͠߹ʹ1
ΛɼࠃࡍܦࡁֶՊΛࢤͨ͠߹ʹ0
ΛͱΔόΠφϦมͱ ͠ɼֶੜi
͕ܦࡁֶՊΛࢤ͢Δ֬ΛP
iɼࠃࡍܦࡁֶՊΛબ͢Δ֬Λ1
− P
iͱ͓͘ͱɼҎԼཱ͕͢ΔɽP
i= Pr[y
i= 1] = Pr[u
Ei≥ u
Ki]
(3)
1
− P
i= Pr[y
i= 0] = Pr[u
Ei< u
Ki]
ࠓɼε
i= ε
Ki− ε
Eiͱఆٛ͢Δͱɼ(2)
ΑΓε
i∼ N(0, σ
2= σ
E2+ σ
K2)
ʹै ͏ɽ(3)
ࣜʹ(1)
ࣜͱε
iΛೖ͢ΔͱɼҎԼͷProbit model
ΛಘΔɽP
i= Pr[ε
i≤ x
iγ] = Pr[ε
i/σ ≤ x
iγ/σ]
= Pr[z
i≤ x
iβ] = F (x
iβ)
(4)
ͨͩ͠ɼz
iͱβ
ɼz
i= ε
i/σ ∼ N (0, 1)
ɼβ = γ/σ
Ͱఆٛ͞ΕɼF (·)
ඪ ४ਖ਼نͷྦྷੵؔΛද͢ɽ ֶ֤ੜͷબ͕֬ಠཱͰ͋ΔͳΒɼडݧੜͷֶՊબͷಉ࣌֬ ɼX
Λx
ifor all i
ͷू߹ͱ͓͘ͱҎԼͰද͞ΕɼPr[Y
1= y
1, Y
2= y
2, · · · , Y
n= y
n|X] =
yi=0(1
− F (x
iβ))
yi=1F (x
iβ)
ؔҎԼͰఆٛ͞ΕΔɽ
L(β|data) =
n i=1F (x
iβ)
yi(1
− F (x
iβ))
1−yi(5)
ຊߘͰؔ(5)
͔ࣜΒಘΒΕΔύϥϝʔλβ
ͷ࠷ਪఆྔΛ༻͍Δɽ ຊߘͰຖʹߦͬͨਪఆ݁Ռͱϓʔϧυɾσʔλͷਪఆ݁ՌΛใࠂ͢ ΔɽຖͷਪఆϞσϧʢ୯Ϟσϧʣͷઆ໌มx
iද7
ʢจඌʹ ܝࡌʣͷ௨ΓͰɼ֤Պͷภࠩͱμϛʔมͱͯ͠ੑผͱ࿘ਓͷ༗ແΛՃ͑ ͍ͯΔɽ ϓʔϧυɾσʔλͷਪఆϞσϧʢ౷߹ϞσϧʣͰ࠾༻ͨ͠આ໌มද4
ɾද5
ͷ௨ΓͰɼ୯Ϟσϧͷઆ໌มʹՃ͑ɼࢼݧ੍ซئঢ়گɼ͞ ΒʹμϛʔΛՃ͍͑ͯΔɽ·ͨɼ2000–2007
࣮ࢪͷࠃࡍܦࡁֶՊӳ ޠࣼμϛʔͱͷަ߲ࠩઆ໌มʹՃ͍͑ͯΔɽ4.2
౷ܭϞσϧͷ
ຊߘͰडݧ͍ͯ͠ͳ͍બՊͷภࠩΛθϩʹઃఆ͠ɼະબՊ ͷڵຯແ͍ͷͱͯۙ͠ࣅ͍ͯ͠Δɽ͜ΕʹΑΓະडݧϨίʔυͷ֘Պ มͷͷΈ͕Ϟσϧ͔ࣜΒυϩοϓ͢Δɽ͜ΕશϨίʔυͷมΛOmitt
͢ΔΘ͚Ͱͳ͍ͷͰܽམมόΠΞε(omitted variable bias)
ͱ ҟͳΔ͕ɼະडݧऀͷڵຯΛਖ਼֬ʹଌఆ͍ͯ͠ͳ͍ͱ͍͏ҙຯͰଌఆޡࠩΛ ሃΉͷͰϞσϧʹੜੑͷ͕ੜ͡Δɽ ͦͦɼೳྗڵຯͱ͍ͬͨநతͳରཧมͰ͔͠ଌΔ͜ͱ͕Ͱ ͖ͣɼͦ͏࣮ͨ͠ূੳͰඞͣૢ࡞มΛ༻͍ͯϞσϧΛվળ͢Δͷ͕ৗ Ͱ͋Δɽ͕ͨͬͯ͠ɼภࠩΛθϩʹઃఆ͍ͯ͠ͳ͍߹Ͱૢ࡞มΛ༻ ͍ͨਪఆ͕·ΕΔɽ͔͠͠ɼडݧ͍ͯ͠ͳ͍બՊͷภ͕ࠩθϩʹઃ ఆ͞Ε͍ͯΔ߹ɼͦΕΒϨίʔυͱ૬ؔ͢Δૢ࡞มଘࡏ͠ಘͳ͍ɽྫ ͑ɼશମͷ3
ׂ͔͠डݧ͍ͯ͠ͳ͍Պͷ߹ɼૢ࡞มશϨίʔυͷ7
ׂͱ૬ؔແ͍༁Ͱɼ͜͏ͨ͠ૢ࡞ม͕ͲΕ͚ͩਪఆྔΛվળ͢Δ͔ະ Ͱ͋Δɽ͕ͨͬͯ͠ɼ͜͜ͰଌఆޡࠩΛड͚ೖΕɼΘΓʹਪఆྔͷෆภੑͱҰகੑΛ٘ਜ਼ʹ͢Δ͜ͱΛબ͢Δɽຊߘͷਪఆ݁ՌͷධՁʹࡍͯ͠ɼ ͦΕΒͷΛ౿·্͑ͨͰۛຯ͞Ε͍ͨɽ ະબՊͷθϩۙࣅΛճආ͢Δํ๏ͱͯ͠ɼશબՊͷภࠩΛʮબ Պʯͱ͍͏
1
มʹ·ͱΊɼ֤બՊͷडݧ༗ແΛอ࣋͢ΔμϛʔΛ μϛʔͱͯ͠༻͍ͯબՊຖͷޮՌΛநग़͢Δํ๏͕ߟ͑ΒΕΔɽ͔͠ ͠ɼ͜ͷ߹ɼʮબՊʯมͷʮࠃޠͱӳޠҎ֎ͷೳྗʢ͘͠ ڵຯʣʯΛද͢ͷͰɼͦͷΑ͏ͳେ·͔ͳ͘͘ΓͰֶՊબΛܾఆ͍ͯ͠Δ ͱ౸ఈߟ͑ΒΕͳ͍ɽ͜ͷํ๏ͦͦͷֶՊબϞσϧͷҙຯΛม͑ ͯ͠·͏্ɼ࣮ࡍʹਪఆͯ͠શ͘༗ҙͳಘΒΕͳ͔ͬͨɽ͕ͨͬ͠ ͯɼຊߘͰະडݧՊͷڵຯΛʮແ͠ʯͰۙࣅ͢Δ͜ͱΛ࠾༻͠ɼීวੑͱ ҰகੑΛ٘ਜ਼ʹ͢Δ͜ͱΛબͨ͠ɽ Ҏ্ɼຊݚڀͷख๏ʹؔͯ͠ݫཱ͍͠Ͱ͖͕ٞͯͨ͠ɼຊݚڀՌΛ༴ ޢ͢Δཱ͔Βٞͯ͠Έ͍ͨɽͦͦਪఆྔͷ·͍͠ੑ࣭ʢීวੑ Ұகੑʣશͯɼ౷ܭϞσϧ͕σʔλੜաఔͱͯ͠ਖ਼͚͠Εͱ͍͏݅ ͖Ͱ͋ΔɽҰൠʹߦΘΕ͍ͯΔύϥϝτϦοΫͳܭྔܦࡁੳͰ࠾༻͞Ε ͍ͯΔਪఆࣜʢ΄ͱΜͲ͕ઢܗ͔Α͘ΒΕͨඇઢܗࣜʣ͕Ռͨͯ͠ਅͷϞσ ϧ͔ͱ͍͑ɼ͜Εۙࣅతͳͷʹա͗ͳ͍ɽ͕ͨͬͯ͠ɼܭྔੳͷख๏ ͕ຬ͖ͨ͢ԾఆͷͲ͜ʹݫ͍͠Λ͚Δ͔ͷҧ͍Ͱ͋Δͱߟ͑Εɼຊ ߘͷۙࣅʹΑΔਪఆ݁Ռҙຯͷͳ͍ͷʹͳΒͳ͍ͱஶऀߟ͍͑ͯΔɽ4.3
Ծઆ
ຊߘͰɼओʹ2
ͭͷԾઆɼ1.
ֶʹڵຯͷ͋ΔֶੜܦࡁֶՊΛࢤ͠ɼ ޠֶʢӳޠʣʹڵຯͷ͋ΔֶੜࠃࡍܦࡁֶՊΛࢤ͢Δ͕͋Δɼ2.
ʮࠃ ࡍʯ໊শϓϨϛΞϜ͕ଘࡏ͢Δɼʹ͍ͭͯٞ͢ΔɽೖࢼΛ֘Պͷ ڵຯΛଌΔཧมͱͯ͠࠾༻͢Δ͜ͱʹҧײ͕͋Δ߹ɼ1
ͭͷԾઆ ͷʮڵຯͷ͋ΔֶੜʯΛʮಘҙͳֶੜʯʹஔ͖͑ͯղऍ͢Εྑ͍ɽ2
ͭͷԾઆɼProbit
Ϟσϧͷఆ߲͕ෛͰ༗ҙ͔൱͔Ͱݕఆ͢Δɽ ೆֶӃେֶͷܦࡁֶ෦Ͱɼ2016
·Ͱ2
ͭͷֶՊͰڭҭ্ͷࠩผԽߦΘΕͯ͜ͳ͔ͬͨɽθϛ૬ޓʹΓೖΕՄೳͰɼֶ྆Պͷ࣮࣭తͳ໊ࠩশ Ҏ֎ʹଘࡏ͠ͳ͍ɽ͕ͨͬͯ͠ɼֶతڵຯݻ༗ͷӨڹΛഉআͯ͠ ·ͩఆ߲͕ෛͰ༗ҙͱͳΔͳΒɼֶՊ໊শͷҧ͍͔Βड͚ΔҹͰࢤئ ऀ͕ࠃࡍܦࡁֶՊدΓͷબΛߦ͍ͬͯΔ͜ͱʹͳΔɽ ࣭తมྔϞσϧͷఆ߲ʹΠϯϓϦέʔγϣϯΛ༩͑ͨݚڀ͋·ΓྫΛ ݟͳ͍͕ɼڭՊॻϨϕϧͰఆ߲ΛબόΠΞεͱղऍ͍ͯ͠Δͷ͋ Δ
(Griffiths, Hill and Judge 1993, p.745)
ɽ5
ਪఆ݁Ռͱߟ
·ͣ୯ຖʹਪఆΛߦ͍ɼֶతڵຯͱֶՊબ֬ͷؔΛݟΔɽ୯ Ϟσϧͷఆ߲ʹɼܠؾมಈࣾձɼೖࢼ੍ͷมߋɼݻ༗ͷ Өڹؚ͕·ΕΔͨΊɼఆ߲Λ༻͍ͨʮࠃࡍʯ໊শϓϨϛΞϜͷݕఆɼϓʔ ϧυɾσʔλΛ༻͍ͯݻ༗ͷཁҼΛίϯτϩʔϧ্ͨ͠Ͱߦ͏ɽ5.1
୯Ϟσϧ
୯σʔλ͔Βਪఆͨ݁͠ՌΛɼද7–
ද10
ʢจඌʹܝࡌʣʹ·ͱΊ ͨɽ୯Ϟσϧʹݻ༗ͷμϛʔ͕ͳ͍ͨΊɼઆ໌มೖࢼ7
ڭՊ ͷภࠩͱɼडݧੜͷଐੑΛࣔ͢உੑɾ࿘ਓμϛʔͷΈͰ͋Δɽ2007
ҎલશͯͷڭՊͰͷූ߸͕༗ҙͰ֬ఆ͢Δɽ2008
Ҏ߱2012
Λআ͖ɼӳޠͱֶͷΈ͕Ұ؏ͯ͠༗ҙͰ͋Δɽ2012
ͷӳޠΛআ͖ શͯͷͰɼӳޠࠃࡍܦࡁֶՊͷબ֬ʹɼֶܦࡁֶՊͷબ֬ʹ ͦΕͧΕϓϥεʹ࡞༻͍ͯ͠Δɽද
3
ӳޠภࠩͱֶภࠩͷAverage Partial Effects
ʢAPE
ʣΛ·ͱ ΊͨͷͰɼਤ1
ɼඪຊͷฏۉͰධՁͨ͠Marginal Effects
ʢME
ʣͱAPE
ͷਪҠΛάϥϑʹࣔͨ͠ͷͰ͋Δɽ
·ͣɼӳޠͷ
ME
ͱAPE
ͷਪҠΛݟͯΈΑ͏ʢਤ1
ࠨʣɽࠃࡍܦࡁֶՊද
3:
୯Ϟσϧʹ͓͚ΔӳޠภࠩͱֶภࠩͷAverage Partial
Effects (%)
2000 2001 2002 2003 2004 2005 ӳޠ −2.143∗∗∗ −1.939∗∗∗ −1.887∗∗∗ −2.168∗∗∗ −2.029∗∗∗ −1.787∗∗∗ (0.157) (0.149) (0.148) (0.144) (0.133) (0.210) ֶ 0.632∗∗∗ 0.409∗∗∗ 0.559∗∗∗ 0.586∗∗∗ 0.507∗∗∗ 0.375∗∗∗ (0.066) (0.053) (0.058) (0.059) (0.058) (0.060) 2006 2007 2008 2009 2010 2011 ӳޠ −2.379∗∗∗ −1.819∗∗∗ −0.441∗∗∗ −0.567∗∗∗ −0.312∗∗∗ −0.586∗∗∗ (0.114) (0.188) (0.089) (0.095) (0.096) (0.113) ֶ 0.691∗∗∗ 0.625∗∗∗ 0.519∗∗∗ 0.425∗∗∗ 0.395∗∗∗ 0.333∗∗∗ (0.064) (0.077) (0.089) (0.096) (0.099) (0.109) 2012 2013 2014 2015 2016 2017 ӳޠ −0.114 −0.415∗∗∗ −0.302∗∗∗ −0.284∗∗∗ −0.493∗∗∗ −0.462∗∗∗ (0.107) (0.107) (0.112) (0.108) (0.100) (0.099) ֶ 0.391∗∗∗ 0.324∗∗∗ 0.435∗∗∗ 0.404∗∗∗ 0.300∗∗∗ 0.319∗∗∗ (0.112) (0.109) (0.116) (0.111) (0.101) (0.102) දࣔͷ༗ޮܻΛ૿ͨ͢ΊΛ100ഒ͠୯ҐΛ%ʹ͍ͯ͠Δɽׅހඪ४ภࠩɽ∗p<0.1; ∗∗p<0.05;∗∗∗p<0.01 2000 2002 2004 2006 2008 2010 2012 2014 2016 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.0 年 英語偏差値が経済学科選択確率に及ぼす影響(¥%)Average Partial Effects Marginal Effects 2000 2002 2004 2006 2008 2010 2012 2014 2016 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 年 数学偏差値が経済学科選択確率に及ぼす影響(¥%)
Average Partial Effects Marginal Effects
2007
ΛڥʹAPE
ͱME
ͷਪҠ͕ݦஶʹมԽ͍ͯ͠Δɽ࣮ࣼࢪظؒ தӳޠͷภ͕ࠩ1
ϙΠϯτ૿Ճ͢ΔͱࠃࡍܦࡁֶՊͷબ͕֬2%
্ঢ͍ͯͨ͠ͷʹର͠ɼۙ0.5%
ͷ্ঢͰਪҠ͍ͯ͠Δɽ ҰํɼֶͷAPE
ʢਤ1
ӈʣ2007
Λڥʹͨ͠τϨϯυมԽݟΒΕ ͳ͍͕ɼAPE
ͱME
ͷဃ͕2007
ΛڥʹมԽ͍ͯ͠ΔͷͰɼֶʹڵຯ ͷ͋ΔֶੜͷֶՊબߦಈʹӳޠͷ͕ࣼएׯͷӨڹΛ༩͑ͨ͜ͱ͕ ͑ΔɽֶӳޠͱٯʹܦࡁֶՊͷબ֬ʹϓϥεʹ࡞༻͍ͯ͠Δ͕ɼ ͦͷେ͖͞ӳޠಉ༷ɼ0.5%
पลͰਪҠ͍ͯ͠Δɽ0.5%
ͱ͍͏ඍখͳ֬Ͱ͋Δ͕ɼ1
ͭͷԾઆɼ͢ͳΘͪɼֶͷڵ ຯܦࡁֶՊͷબʹɼޠֶʢӳޠʣͷڵຯࠃࡍܦࡁֶՊͷબʹϓϥε ʹ࡞༻͢Δͱ͍͏Ծઆยଆ99%
ͷ༗ҙਫ४Ͱࢧ࣋͞Εͨɽ5.2
౷߹Ϟσϧ
౷߹Ϟσϧͷਪఆ݁Ռද4
ɾද5
ͷ௨ΓͰ͋Δɽද4
ɾ5
ͷModel 1
୯Ϟσϧʹɼೖࢼ੍μϛʔɼμϛʔɼซئֶ෦μϛʔΛՃ͑ͨ ͷͰ͋Δɽӳޠͷڵຯֶ͕Պબʹٴ΅͢Өڹɼӳޠࣼͷ༗ແʹ ࠨӈ͞ΕΔͱߟ͑ΒΕΔɽͦ͜ͰModel 2
Ͱӳޠภࠩͱӳޠࣼͷ ަ߲ࠩΛՃ͑ͨɽ୯ϞσϧͰӳޠͱֶ͚͕ͩ΄΅શͯͷͰ༗ҙ Ͱ্͋ͬͨɼਤ1
ͰֶͷME
ͱAPE
ͷဃ͕ӳޠࣼͷ༗ແͰมԽ ͨͨ͠ΊɼModel 3
Ͱ͞Βʹֶภࠩͱӳޠࣼͷަ߲ࠩΛՃ͑ͨɽަ߲ࠩΛಋೖ߲͍ͨͣ͠Ε༗ҙͰ͋Γɼ·ͨɼ
Model 3
ͷLog
Likeli-hood
͕࠷ߴ͍ͷͨΊɼҎޙͷੳͰಛʹஅΓ͕ͳ͍ݶΓModel 3
ͷ݁ Ռʹ͍ͭͯۛຯ͍ͯ͘͠ɽ ·ͣɼʮࠃࡍʯ໊শϓϨϛΞϜԾઆʹ͍ͭͯݟͯΈΑ͏ɽModel 1
͔Β3
· Ͱ͍ͣΕͷϞσϧʹ͓͍ͯఆ߲༗ҙͰͳ͍ɽ͢ͳΘͪɼֶతڵຯɼ ͦͷଞμϛʔมͰίϯτϩʔϧ͞ΕͨཁҼҎ֎ֶ͕Պબ֬ʹӨڹΛٴ ΅͢౷ܭతʹ༗ҙͳޮՌݟΒΕͳ͍ɽֶ྆ՊఏڙՊಉ্͡ɼਐֶޙͷ θϛʹ͍ͭͯ2016
·ͰֶՊͷ۠ผͳ͘ߦΘΕ͍ͯͨͨҝɼ౷ܭతʹίϯද
4:
౷߹Ϟσϧਪఆ݁Ռʢͦͷ1
ʣDependent variable:
ܦࡁֶՊબ֬
Model 1 Model 2 Mode 3 Constant −5.873 −9.576 −9.547 (17.786) (22.193) (22.350) உੑ 0.324∗∗∗ 0.324∗∗∗ 0.326∗∗∗ (0.017) (0.018) (0.018) ࠃޠภࠩ 0.017∗∗∗ 0.017∗∗∗ 0.017∗∗∗ (0.001) (0.001) (0.001) ӳޠภࠩ −0.045∗∗∗ −0.017∗∗∗ −0.017∗∗∗ (0.001) (0.001) (0.001) ຊ࢙Bภࠩ 0.012∗∗∗ 0.009∗∗∗ 0.009∗∗∗ (0.001) (0.001) (0.001) ੈք࢙Bภࠩ 0.009∗∗∗ 0.005∗∗∗ 0.005∗∗∗ (0.001) (0.001) (0.001) ࣏.ܦࡁภࠩ 0.009∗∗∗ 0.005∗∗∗ 0.006∗∗∗ (0.001) (0.001) (0.001) ཧBภࠩ 0.008∗∗∗ 0.005∗∗∗ 0.005∗∗∗ (0.001) (0.001) (0.001) ֶภࠩ 0.021∗∗∗ 0.019∗∗∗ 0.020∗∗∗ (0.001) (0.001) (0.001) ӳޠภࠩ:ӳޠࣼ −0.140∗∗∗ −0.137∗∗∗ (0.003) (0.003) ֶภࠩ:ӳޠࣼ −0.006∗∗∗ (0.001) Observations 39,333 39,333 39,333 Log Likelihood -16,164.950 -14,483.340 -14,465.780 Akaike Inf. Crit. 32,375.890 29,014.680 28,981.560
Note: ɼׅހඪ४ภࠩɽ∗p<0.1;∗∗p<0.05;∗∗∗p<0.01 ໊ʹภ͕ࠩೖͬͨมͱڝ૪૿ࠩҎ֎μϛʔมɽ ʮӳޠภࠩ:ӳޠࣼʯͱʮֶภࠩ:ӳޠࣼʯ ަ߲ࠩɽ ϯτϩʔϧͨ͠ཁҼҎ֎ʹɼֶՊ໊শͷࠩҟ͔͠ଘࡏ͠ͳ͍ͱݴ͑Δɽఆ ߲͕༗ҙͰͳ͍ͨΊɼʮࠃࡍʯ໊শϓϨϛΞϜ͕ଘࡏ͢Δͱ͍͏Ծઆغ ٫͞ΕΔɽ ࣍ʹɼೖࢼภࠩͰଌֶͬͨతڵຯͷେ͖͞ͱબֶՊʹؔ͢ΔԾઆΛۛ ຯ͠Α͏ɽ౷߹ϞσϧͰͲͷภࠩมͷ྆ଆ
98%
ͷਫ४Ͱ༗ද
5:
౷߹Ϟσϧਪఆ݁Ռʢͦͷ2
ʣDependent variable:
ܦࡁֶՊબ֬
Model 1 Model 2 Mode 3
ڝ૪૿ࠩ −0.153∗∗∗ −0.167∗∗∗ −0.167∗∗∗ (0.022) (0.023) (0.023) Fఔ 7.240 9.662 9.634 (17.785) (22.193) (22.350) ֶՊ৽ઃ 0.008 −0.013 −0.019 (0.037) (0.049) (0.048) ӳޠࣼ 0.189∗∗∗ 7.653∗∗∗ 7.566∗∗∗ (0.051) (0.182) (0.181) ηϯλʔલظ −0.122∗∗ −0.059 −0.058 (0.057) (0.068) (0.067) Aఔซئ −0.125∗∗∗ −0.126∗∗∗ −0.126∗∗∗ (0.024) (0.023) (0.023) ࿘ਓ 0.074∗∗∗ 0.063∗∗∗ 0.062∗∗∗ (0.022) (0.023) (0.023) จֶ෦ซئ −0.446∗∗∗ −0.430∗∗∗ −0.430∗∗∗ (0.028) (0.030) (0.030) ֶ෦ซئ −0.007 −0.011 −0.009 (0.017) (0.018) (0.018) ๏ֶ෦ซئ −0.040∗∗ −0.017 −0.016 (0.019) (0.020) (0.020) ਓؒՊֶ෦ซئ −0.090∗∗∗ −0.070∗∗∗ −0.068∗∗∗ (0.025) (0.026) (0.026) ࠃࡍจԽֶ෦ซئ −0.531∗∗∗ −0.513∗∗∗ −0.508∗∗∗ (0.031) (0.032) (0.032) Y2009 −0.188∗∗∗ −0.198∗∗∗ −0.196∗∗∗ (0.036) (0.036) (0.036) Y2012 0.006 0.005 0.005 (0.034) (0.033) (0.033) Observations 39,333 39,333 39,333 Log Likelihood -16,164.950 -14,483.340 -14,465.780 Akaike Inf. Crit. 32,375.890 29,014.680 28,981.560
Note: ɼׅހඪ४ภࠩɽ∗p<0.1;∗∗p<0.05;∗∗∗p<0.01 ໊ʹภ͕ࠩೖͬͨมͱڝ૪૿ࠩҎ֎μϛʔมɽ
ʮӳޠภࠩ:ӳޠࣼʯͱʮֶภࠩ:ӳޠࣼʯ
ͯ͠ܦࡁֶՊͷબ͕֬ฏۉͯ͠
0.62%
্ঢ͍ͯ͠Δɽද
6:
౷߹ϞσϧͷAverage Partial Effects
ͱMarginal Effects(%)
APE ME Constant −198.458∗∗ −325.366∗∗ (77.716) (127.414) உੑ 10.754 10.754 (22.706) (22.706) ࠃޠภࠩ 0.347 0.570 (0.678) (1.111) ӳޠภࠩ −0.361 −0.591 (0.704) (1.153) ຊ࢙Bภࠩ 0.194 0.318 (0.378) (0.620) ੈք࢙Bภࠩ 0.111 0.183 (0.218) (0.358) ࣏.ܦࡁภࠩ 0.114 0.188 (0.224) (0.368) ཧBภࠩ 0.109 0.179 (0.214) (0.350) ֶภࠩ 0.419 0.687 (0.817) (1.339) ڝ૪૿ࠩ −3.466 −5.683 (6.775) (11.107) Y2009 −6.339 −6.339 (14.189) (14.189) දࣔͷ༗ޮܻΛ૿ͨ͢ΊΛ100ഒ͠୯Ґ Λ%ʹ͍ͯ͠Δɽׅހඪ४ภࠩɽ∗p<0.1; ∗∗p<0.05;∗∗∗p<0.01 ༻͍ͯ͠Δͷද4–ද5ͷModel 3ɽ ӳޠͱֶͷݶքޮՌӳޠࣼμϛʔ = 0ͰධՁɽ ද
6
ɼશαϯϓϧظ͔ؒΒܭࢉ͞ΕͨදతมͷAPE
ͱME
Λ·ͱ ΊͨͷͰ͋Δɽͨͩ͠ɼަ߲ࠩޮՌΛߟྀͨ͠ӳޠͱֶʹؔͯ͠ɼࣼͷͳ͍ݶքޮՌʹڵຯ͕͋ΔͨΊɼӳޠࣼμϛʔΛ
0
ͰධՁͯ͠ࢉ ग़͍ͯ͠Δɽશαϯϓϧ͔ΒࣼͷޮՌΛऔΓআ͍ͯܭࢉ͢Δͱɼֶภ ࠩ1
ϙΠϯτͷ্ঢͰܦࡁֶՊͷબ֬ฏۉͯ͠0.419%
͔Β0.687%
্ঢ͍ͯ͠ΔɽӳޠҎ֎ͷՊશͯܦࡁֶՊͷબ֬ʹϓϥεʹد༩͠ ͍ͯΔ͕ɼֶՊؒͷֶతڵຯͷࠩҟΛཧ͢Δͱߟ͑ΒΕΔબՊʢຊ ࢙ɼੈք࢙ɼܦɼཧɼֶʣʹݶఆͯ͠ΈΔͱɼֶଞͷબՊͷ΄ ΅ഒد༩͍ͯ͠Δɽ Ҏ্͔Βɼํͷࢲཱจܥେֶͷܦࡁֶ෦ʹ͓͍ͯɼܦࡁֶՊͰ͋Δఔ ֶΛ͏͜ͱ͕ߴߍੜ͔Βظ͞Ε͍ͯΔ͜ͱ͕͑Δɽ·ͨɼӳޠภ ͚͕ࠩͩࠃࡍܦࡁֶՊͷબ֬ʹϓϥεʹد༩͍ͯ͠Δ͜ͱ͔Βɼਐֶ ޙͷΧϦΩϡϥϜʹಛஈͷࠩҟ͕ͳͯ͘ӳޠʹڵຯ͕͋Δʢ͘͠ಘҙ ͳʣडݧੜ͕ࠃࡍܦࡁֶՊͷڭҭʹظ͍ͯ͠Δ͜ͱ͕͔Δɽ ͦͷଞɼModel 3
ͷਪఆ݁Ռ͔ΒಡΈऔΕΔࣄ߲ΛݟͯΈΑ͏ɽ࿘ਓܦ ࡁֶՊͷબʹϓϥεʹ࡞༻͢Δ͜ͱ͕͔Δɽซئֶ෦μϛʔ͏Ұͭ ͷֶతڵຯͷཧࢦඪͱͳΔ͕ɼਓจܥֶ෦ʢจֶɼਓؒՊֶɼࠃࡍจԽֶ ෦ʣ͍ͣΕࠃࡍܦࡁֶՊͷબ֬ͱਖ਼ͷ૬ؔΛ͍࣋ͬͯΔɽ·ͨɼڝ૪ ૿͕ࠩϚΠφεͰ༗ҙͳͷͰִݱ͕౷ܭతʹ֬ೝ͞ΕΔɽ ೆֶӃେֶܦࡁֶ෦ͷҰ෦ͷڭһͷؒͰɼࠃࡍܦࡁֶՊʹྺ࢙ʹڵ ຯͷ͋Δֶੜ͕ΑΓଟ͘ू·͍ͬͯΔͱߟ͑ΒΕ͍ͯΔ͕ɼਪఆ݁ՌΛݟΔ ݶΓɼޠֶҎ֎ͷબՊͷڵຯશͯܦࡁֶՊͷબ֬ʹϓϥεʹ࡞ ༻͍ͯ͠Δɽ ෆگ࣌ʹܦࡁֶՊ͕ෆརͱ͍͏આɼϦʔϚϯϒϥβʔζޙͷ2009
μϛʔ͕ܦࡁֶՊʹରͯ͠ϚΠφεʹ࡞༻͍ͯ͠Δ͜ͱͰࢧ࣋͞Ε͍ͯΔ͕ɼ ౦ຊେࡂͷӨڹʢ2012
μϛʔʣ༗ҙʹೝΊΒΕͳ͍ɽ͜ΕɼA
ఔซئμϛʔ͕2012
Ҏ߱1
Ͱ͋ΔͷͰɼͪ͜ΒͰ͋ΔఔޮՌ͕ٵऩ͞Ε ͍ͯΔͷ͔͠Εͳ͍ɽܠؾมಈͱֶՊબͷؔɼผͷੳΛͨͶ ͳΒͳ͍ɽ6
·ͱΊ
ຊߘͰɼํͷࢲཱେֶܦࡁֶ෦ʹ͓͍ͯɼडݧੜ͕ܦࡁֶՊͱࠃࡍܦࡁ ֶՊΛͲͷΑ͏ͳֶతڵຯʹج͍ͮͯબ͢Δ͔ɼϓϩϏοτϞσϧΛ༻ ͍ͯਪఆͨ͠ɽೖࢼબՊͷֶ͕ੜͷֶతڵຯͷཧมʹͳΓಘ Δͱ͍͏ԾఆΛೝΊΔͳΒɼֶʹڵຯͷ͋ΔֶੜܦࡁֶՊΛɼӳޠʹ ڵຯͷ͋ΔֶੜࠃࡍܦࡁֶՊΛબ͢Δ֬ΛΘ͔ͣͰ͋Δ͕༗ҙʹ্ ঢͤ͞Δ͜ͱ͕໌ͨ͠ɽ·ͨɼֶతڵຯɼೖࢼ੍ɼೖࢼқͷมԽ ͷཁҼΛഉআͯ͠·ͩΔֶՊબόΠΞε౷ܭతʹೝΊΒΕͳ͔ͬͨɽ ͜ΕೆֶӃେֶͷࠃࡍܦࡁֶՊʹʮࠃࡍʯ໊শόΠΞε͕ଘࡏ͠ͳ͍͜ ͱΛҙຯ͍ͯ͠Δɽͨͩ͠ɼֶ྆Պʹڭҭ্ͷ͕ࠩͳ͍ʹ͔͔ΘΒͣɼӳޠ ʹڵຯͷ͋Δֶੜ͕ࠃࡍܦࡁֶՊΛબ͕ͪ͠Ͱ͋Δͱ͍͏͜ͱ͕ͦ͜ʮࠃ ࡍʯ໊শόΠΞεͰ͋Δͱݴ͑ͳ͘ͳ͍ɽYamaoka, Asano and Abe (2010)
ɼThe Journal of Economic Education
ͷܦࡁֶڭҭಛू߸ʹ͓͍ͯҎԼͷΑ͏ʹड़͍ͯΔɽ
Many high school graduates choose to go on to a faculty of
eco-nomics in university for no particular reason and without any strong
desire to learn economics.
ࣅͨΑ͏ͳݴઆଟ͘ͷڭһ͔Βࣖʹ͢ΔɽͦΕʹ͔͔ΘΒͣɼํͷࢲ ཱจܥେֶʹೖֶલͷஈ֊ʹ͓͍ͯɼඍখ֬Ͱ͋Δֶ͕తڵຯ͕ܦࡁ ֶՊબ֬ʹϓϥεʹ࡞༻͢Δ͜ͱ͕౷ܭతʹ༗ҙʹݱΕͯ͘Δͱ͍͏ͷ ಛචʹ͢Δɽࣛɾߴɾଜᖒ
(2011)
ͷݚڀͰɼϛΫϩɾϚΫϩܦࡁ ֶೖՊͷʹ༩͑ΔཁҼΛίϯτϩʔϧͯ͠·ͩɼೖֶޙͷֶڭ ҭΛࢪͨ͠ੜెͷ߹͕֨༗ҙʹ্ঢ͢Δ͜ͱ͕ใࠂ͞Ε͍ͯΔɽ൴Βͷݚ ڀͰܦࡁֶ෦ʹ͓͚ΔֶڭҭͷॏཁੑΛ͍ࣔͯ͠Δɽ ܦࡁֶৗʹσʔλͰओு͕ݕূ͞ΕΔ͖ͰɼΧϦΩϡϥϜҹʹج͍ͮͯฤ͞ΕΔͷͰͳ͘ɼσʔλʹج͍ͮͯडݧੜͷχʔζΛټΈऔͬ ͍ͯ͘͜ͱ͕ॏཁͰ͋Δɽຊߘͷੳ݁ՌͰɼܦࡁֶՊʹֶʹڵຯͷ ͋Δʢ͘͠ಘҙͳʣֶੜ͕ࢤئ͍ͯ͠Δ͕౷ܭతʹೝΊΒΕɼࠃࡍܦ ࡁֶՊʹޠֶʹڵຯͷ͋Δʢ͘͠ಘҙͳʣֶੜ͕ࢤئ͍ͯ͠Δ͕ ౷ܭతʹೝΊΒΕͨͨΊɼֶՊؒͷಛΛੜ͔ͨ͠ΧϦΩϡϥϜฤ͕ظ ͞ΕΔɽࠓޙडݧੜ͚ͩͰͳ͘ɼೖֶऀʹର͢Δσʔλੳߦ͍ͳ͕Βɼ ܦࡁֶ෦ڭҭͷ͋Δ͖ಓΛ୳͍͖͍ͬͯͨɽ
ࢀߟจݙ
Arcidiancono, Peter (2004) “Abilitysorting and the returns to college
ma-jor,” Journal of Econometrics, Vol. 121, pp. 343–375.
Arcidiancono, Peter, V. Joseph Hotz, and Songman Kang (2012)
“Mod-eling college major choices using elicited measures of expectations
and counterfactuals,” Journal of Econometrics, Vol. 166, No. 1, pp.
3–16.
Bradley, Elizabeth S. (2012) “The Effect of the Business Cycle on
Fresh-man Major Choice,” MPRA Paper No. 42412, October.
Griffiths, William E., R. Carter Hill, and George G. Judge (1993) Learning
and Practicing Econometrics: Willey.
Yamaoka, Michio, Tadayoshi Asano, and Shintaro Abe (2010) “The
Present State of Economic Education in Japan,”
The Journal of
Economic Education, Vol. 41, No. 4, pp. 448–460.
ࣛൟथɾߴਅޗɾଜᖒ߁༑
(2011)
ʮܦࡁֶͷʹର͢ΔֶֶशͷޮՌɿίϯτϩʔϧؔΞϓϩʔνʹΑΔਪఆͱ༧උݕఆʯɼʰ౷ܭཧʱɼ
ୈ
59
רɼୈ2
߸ɼ301–319
ทɽ࢜ৡ
(2014)
ʮେֶڭҭʮج४ʯՊ໊ͳ͘ʯɼʰຊܦࡁ৽ฉேץʱɼ29
ทɽ ٶా(2015)
ʮֶ෦બٴͼจཧબͷ࣮ূੳʯɼʰCIS Discussion Paper
ද
7:
୯Ϟσϧਪఆ݁Ռ2000
–2004
Dep endent variable: ܦࡁֶՊબ֬ 2000 2001 2002 2003 2004 Constan t 8. 208 ∗∗∗ 7. 618 ∗∗∗ 7. 571 ∗∗∗ 7. 449 ∗∗∗ 6. 342 ∗∗∗ (0 .454) (0 .426) (0 .421) (0 .394) (0 .361) உੑ 0. 027 0. 164 ∗ − 0. 018 0. 162 ∗ 0. 329 ∗∗∗ (0 .105) (0 .099) (0 .098) (0 .093) (0 .087) ࠃޠ 0. 041 ∗∗∗ 0. 067 ∗∗∗ 0. 047 ∗∗∗ 0. 061 ∗∗∗ 0. 046 ∗∗∗ (0 .006) (0 .006) (0 .005) (0 .005) (0 .005) ӳޠ − 0. 238 ∗∗∗ − 0. 236 ∗∗∗ − 0. 228 ∗∗∗ − 0. 241 ∗∗∗ − 0. 194 ∗∗∗ (0 .010) (0 .010) (0 .009) (0 .010) (0 .008) ຊ࢙ B0 .065 ∗∗∗ 0. 043 ∗∗∗ 0. 062 ∗∗∗ 0. 057 ∗∗∗ 0. 049 ∗∗∗ (0 .006) (0 .005) (0 .006) (0 .005) (0 .005) ੈք࢙ B0 .061 ∗∗∗ 0. 046 ∗∗∗ 0. 060 ∗∗∗ 0. 059 ∗∗∗ 0. 046 ∗∗∗ (0 .006) (0 .005) (0 .006) (0 .005) (0 .005) ࣏ . ܦࡁ 0. 052 ∗∗∗ 0. 036 ∗∗∗ 0. 059 ∗∗∗ 0. 047 ∗∗∗ 0. 032 ∗∗∗ (0 .007) (0 .007) (0 .007) (0 .006) (0 .006) ཧ B0 .059 ∗∗∗ 0. 047 ∗∗∗ 0. 063 ∗∗∗ 0. 057 ∗∗∗ 0. 043 ∗∗∗ (0 .006) (0 .006) (0 .006) (0 .006) (0 .005) ֶ 0. 070 ∗∗∗ 0. 050 ∗∗∗ 0. 068 ∗∗∗ 0. 065 ∗∗∗ 0. 048 ∗∗∗ (0 .006) (0 .006) (0 .006) (0 .006) (0 .005) ࿘ਓ − 0. 341 ∗∗∗ 0. 028 − 0. 082 − 0. 068 0. 027 (0 .122) (0 .124) (0 .111) (0 .101) (0 .094) Observ ations 2,513 2,823 2,971 3,143 3,082 Log Li k el iho o d -397.316 -405.066 -431.829 -492.196 -570.015 A k aik e Inf . C rit. 814.631 830.132 883.659 1,004.392 1,160.029 Note: ɼׅހඪ४ภࠩɽ ∗p< 0.1; ∗∗ p< 0.05; ∗∗∗ p< 0.01ද
8:
୯Ϟσϧਪఆ݁Ռ2005
–2009
Dep endent variable: ܦࡁֶՊબ֬ 2005 2006 2007 2008 2009 Constan t 8. 730 ∗∗∗ 5. 203 ∗∗∗ 6. 119 ∗∗∗ − 0. 229 0. 031 (0 .489) (0 .314) (0 .392) (0 .169) (0 .173) உੑ 0. 138 0. 332 ∗∗∗ 0. 451 ∗∗∗ 0. 443 ∗∗∗ 0. 468 ∗∗∗ (0 .108) (0 .084) (0 .103) (0 .052) (0 .055) ࠃޠ 0. 061 ∗∗∗ 0. 053 ∗∗∗ 0. 049 ∗∗∗ 0. 016 ∗∗∗ 0. 022 ∗∗∗ (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ӳޠ − 0. 244 ∗∗∗ − 0. 183 ∗∗∗ − 0. 208 ∗∗∗ − 0. 014 ∗∗∗ − 0. 018 ∗∗∗ (0 .011) (0 .007) (0 .009) (0 .003) (0 .003) ຊ࢙ B0 .043 ∗∗∗ 0. 045 ∗∗∗ 0. 068 ∗∗∗ 0. 008 ∗∗∗ − 0. 001 (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ੈք࢙ B0 .043 ∗∗∗ 0. 041 ∗∗∗ 0. 062 ∗∗∗ 0. 002 − 0. 004 (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ࣏ . ܦࡁ 0. 032 ∗∗∗ 0. 041 ∗∗∗ 0. 056 ∗∗∗ 0. 005 − 0. 003 (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ཧ B0 .040 ∗∗∗ 0. 039 ∗∗∗ 0. 060 ∗∗∗ 0. 005 ∗ − 0. 006 ∗ (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ֶ 0. 051 ∗∗∗ 0. 053 ∗∗∗ 0. 072 ∗∗∗ 0. 017 ∗∗∗ 0. 014 ∗∗∗ (0 .006) (0 .005) (0 .006) (0 .003) (0 .003) ࿘ਓ 0. 081 − 0. 227 ∗∗ 0. 253 ∗ 0. 207 ∗∗∗ 0. 024 (0 .120) (0 .096) (0 .130) (0 .067) (0 .067) Observ ations 2,842 2,687 2,533 3,263 2,969 Log Li k el iho o d -365.539 -616.629 -395.509 -1,801.167 -1,623.742 A k aik e Inf . C rit. 751.078 1,253.259 811.018 3,622.334 3,267.485 Note: ɼׅހඪ४ภࠩɽ ∗p< 0.1; ∗∗ p< 0.05; ∗∗∗ p< 0.01ද
9:
୯Ϟσϧਪఆ݁Ռ2010
–2014
Dep endent variable: ܦࡁֶՊબ֬ 2010 2011 2012 2013 2014 Constan t 0. 565 ∗∗∗ 0. 507 ∗∗ − 0. 033 0. 458 ∗∗ 0. 218 (0 .203) (0 .211) (0 .202) (0 .193) (0 .202) உੑ 0. 384 ∗∗∗ 0. 651 ∗∗∗ 0. 390 ∗∗∗ 0. 383 ∗∗∗ 0. 341 ∗∗∗ (0 .062) (0 .064) (0 .062) (0 .059) (0 .063) ࠃޠ 0. 005 ∗ 0. 012 ∗∗∗ 0. 009 ∗∗∗ 0. 008 ∗∗∗ 0. 009 ∗∗∗ (0 .003) (0 .004) (0 .003) (0 .003) (0 .003) ӳޠ − 0. 011 ∗∗∗ − 0. 019 ∗∗∗ − 0. 004 − 0. 012 ∗∗∗ − 0. 009 ∗∗∗ (0 .003) (0 .004) (0 .003) (0 .003) (0 .003) ຊ࢙ B0 .001 − 0. 002 − 0. 002 − 0. 001 − 0. 002 (0 .003) (0 .003) (0 .003) (0 .003) (0 .003) ੈք࢙ B − 0. 003 − 0. 005 − 0. 005 − 0. 008 ∗∗ − 0. 006 ∗ (0 .003) (0 .004) (0 .004) (0 .003) (0 .004) ࣏ . ܦࡁ − 0. 003 − 0. 004 − 0. 006 − 0. 004 − 0. 004 (0 .004) (0 .004) (0 .004) (0 .004) (0 .004) ཧ B − 0. 006 − 0. 007 ∗ − 0. 007 ∗ − 0. 006 ∗ − 0. 008 ∗∗ (0 .004) (0 .004) (0 .004) (0 .004) (0 .004) ֶ 0. 014 ∗∗∗ 0. 011 ∗∗∗ 0. 012 ∗∗∗ 0. 010 ∗∗∗ 0. 013 ∗∗∗ (0 .003) (0 .004) (0 .003) (0 .003) (0 .004) ࿘ਓ 0. 186 ∗∗ 0. 007 0. 083 − 0. 068 0. 083 (0 .080) (0 .085) (0 .079) (0 .079) (0 .082) Observ ations 2,437 2,087 2,185 2,328 2,157 Log Li k el iho o d -1,237.414 -1,128.877 -1,240.317 -1,371.284 -1,244.012 A k aik e Inf . C rit. 2,494.827 2,277.755 2,500.633 2,762.567 2,508.024 Note: ɼׅހඪ४ภࠩɽ ∗p< 0.1; ∗∗ p< 0.05; ∗∗∗ p< 0.01ද